Topological phases of a Kitaev tie

Abstract

We investigate the topological properties of a Kitaev chain in the shape of a legged-ring, which is here referred to as Kitaev tie. We demonstrate that the Kitaev tie is a frustrated system in which topological properties are determined by the position of the movable bond (the tie knot). We determine the phase diagram of the system as a function of the knot position and chemical potential, also discussing the effects of topological frustration. The stability of the topological Kitaev tie is addressed by a careful analysis of the system free energy.

arXiv comment10 pages, 7 figures

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• Resilience of topological superconductivity under particle current
• Squashed entanglement in one-dimensional quantum matter
• Topological phase transitions of semimetal states in effective field theory models
• Polarity of the fermionic condensation in the $p$-wave Kitaev model on a square lattice
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors